Question

First, find the function N(x,y) such that the following differential equation (2x^2y + e^{2x}y^2 + 2x)dx + N(x,y)dy = 0 is exact and N(0,y) = 3y. Which of the following is the general solution of the resulting exact differential equation? Your answer: (2x^3y)/3 + y^2e^{2x} + x^2 + y^2 = C (2x^3y)/3 + y^2e^{2x} + x^2 + y^2/2 = C (2x^3y)/3 + (y^2e^{2x})/2 + x^2 + y^2 = C (2x^3y)/3 + (y^2e^{2x})/2 + x^2 + y^2/2 = C None of the above

          First, find the function N(x,y) such that the following differential equation
(2x^2y + e^{2x}y^2 + 2x)dx + N(x,y)dy = 0
is exact and N(0,y) = 3y. Which of the following is the general solution of the resulting exact differential equation?
Your answer:
(2x^3y)/3 + y^2e^{2x} + x^2 + y^2 = C
(2x^3y)/3 + y^2e^{2x} + x^2 + y^2/2 = C
(2x^3y)/3 + (y^2e^{2x})/2 + x^2 + y^2 = C
(2x^3y)/3 + (y^2e^{2x})/2 + x^2 + y^2/2 = C
None of the above

First, find the function N(x,y) such that the following differential equation
(2x^2y + e^2xy^2 + 2x)dx + N(x,y)dy = 0
is exact and N(0,y) = 3y. Which of the following is the general solution of the resulting exact differential equation?
Your answer:
(2x^3y)/3 + y^2e^2x + x^2 + y^2 = C
(2x^3y)/3 + y^2e^2x + x^2 + y^2/2 = C
(2x^3y)/3 + (y^2e^2x)/2 + x^2 + y^2 = C
(2x^3y)/3 + (y^2e^2x)/2 + x^2 + y^2/2 = C
None of the above

Added by Jaime E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

03/13/2023

Step 1

First, we need to identify the given differential equation. It is given as: (Zx*y + e^y + 2x)dx + N(x, Y)dy = 0 Show more…

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First, find the function M(x, y) such that the following differential equation (Zxy + e^y + 2x)dx + N(x, y)dy = 0 is exact and not linear. Which of the following is the general solution of the resulting exact differential equation? Your answer: tYe^z + y = c y = c 2x^2 x = c None of the above